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Finding the Third Proportional to 24,604 and 53,378

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Solution

The third proportional to 24,604 and 53,378 is: 115,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,604 : 53,378 = 53,378 : x
  2. Step 2: Convert to fraction form
    24,604/53,378 = 53,378/x
  3. Step 3: Cross multiply
    24,604x = 53,378 × 53,378
  4. Step 4: Simplify right side
    24,604x = 2,849,210,884
  5. Step 5: Solve for x
    x = 2,849,210,884/24,604
  6. Step 6: Final answer
    x = 115,802.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.